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Finding the Third Proportional to 318,089 and 686,009

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Solution

The third proportional to 318,089 and 686,009 is: 1,479,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,089 : 686,009 = 686,009 : x
  2. Step 2: Convert to fraction form
    318,089/686,009 = 686,009/x
  3. Step 3: Cross multiply
    318,089x = 686,009 × 686,009
  4. Step 4: Simplify right side
    318,089x = 470,608,348,081
  5. Step 5: Solve for x
    x = 470,608,348,081/318,089
  6. Step 6: Final answer
    x = 1,479,486.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.